Centroids
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Video Lecture 73 of 83
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Date Added: July 18, 2015

### Lecture Description

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The objectives of this video are to introduce the centroid concept followed by a brief discussion on centroid formulas used in the study of engineering mechanics. In engineering, the term ‘centroid’ is used to relate geometric properties to internal forces and stresses in members. Basically, a centroid refers to the center of the mass of an object. Moving on, the video briefly talks about the centroid of simple object that basically refers to the center of average position of areas. Next, the video explains the centroid of complex bodies introducing the necessary formulas to find the coordinates position.

According to the formulas, the x coordinate of the centroid of a complex object with respect to an arbitrary axis is equal to the ratio of ‘the summation of the product of individual section area times the individual section x coordinate’ and the summation of all areas. And similarly, the location of the y coordinate is equal to the ratio of ‘the summation of the product of individual section area times the individual section y coordinate’ and the summation of all areas. Overall, the video tries to give a quick introduction to the centroid concept of simple to complex objects.

### Course Description

Mechanics, the study of forces and physical bodies, underpins a very large proportion of all forms of engineering. A thorough understanding of mechanics is essential to any successful engineer. This course helps develop an understanding of the nature of forces with consideration for how they may be simplified in an engineering context. The conditions of equilibrium are then used to solve a number of problems in 2D and 3D before moving on to a broad range of topics including centroids, distributed loads, friction and virtual work. The course will also provide an introduction to dynamics, with a particular focus on the effects that forces have upon motion.